Answer: y=[tex]\frac{5-9x}{2}[/tex]
s=-30+10t
Step-by-step explanation:
9x + 2y = 5; y
9x-9x+2y = 5-9x
2y=5-9x
y=[tex]\frac{5-9x}{2}[/tex]
1/15s - 2/3t = -2; s
(1/15s - 2/3t = -2)*15 ==> Get rid of fraction by multiplying both sides by 15
s - 30/3 t=-30
s-10t=-30
s=-30+10t
Classify the polynomial by degree and number of terms
v4 - 3v² +5v + 10
A particle moving uniformly along the x axis is located at 16.5 m at 1.82 s and at 4.97 m at 3.81 s. find its displacement during this time interval. answer in units of m\
For a particle moving uniformly along the x axis is located at 16.5 m at 1.82 s and at 4.97 m at 3.81 s, the displacement is -11.53 m
For given question,
A particle moving uniformly along the x axis is located at 16.5 m at 1.82 s and at 4.97 m at 3.81 s.
We can observe that, for t1 = 1.82 s and t2 = 3.81 s
object is moving from right to left along the x axis.
We know that, the displacement of a particle moving in a straight line is the change in its position.
so, d = 4.97 - 16.5
d = -11.53
The negative sign indicates that the object is moving from right to left along the x axis for t1 = 1.82 s and t2 = 3.81 s
Therefore, for a particle moving uniformly along the x axis is located at 16.5 m at 1.82 s and at 4.97 m at 3.81 s, the displacement is -11.53m.
Learn more about the displacement here:
https://brainly.com/question/16965160
#SPJ4
Please help me!!! I need help asap on this question Whoever is correct will get brainly!
Answer:
I am not 100% sure more like 12% sure that it is c
Step-by-step explanation:
Abby ad brenda had total 190.4 kg rice. after abby gave brenda 64.5kg rice, brenda had 6 times as much as abby. how much rice did abby had at first
Abby has 36.4 kg rice at first.
Here,
Abby and Brenda had total 190.4 kg rice.
After Abby gave Brenda 64.5kg rice, Brenda had 6 times as much as Abby.
We have to find amount of rice at first.
What is Total amount?
A total is whole or complete amount, and to total is to add numbers or to destroy something.
Now,
Abby and Brenda had total 190.4 kg rice.
Let amount of rice Abby has = x kg
Let amount of rice Brenda has = y kg
x + y = 190.4 kg .....(i)
Abby gave Brenda 64.5kg rice, Brenda had 6 times as much as Abby.
64.5 + y = 6x
6x - y = 64.5 .....(ii)
From equation (i) and (ii) we get;
x = 36.4
Hence, Abby has 36.4 kg rice at first.
Learn more about the amount visit:
https://brainly.com/question/2455673
#SPJ4
Find the functions and their domains. (enter the domains in interval notation.) f(x) = x 1 x , g(x) = x 14 x 2
Functions and their domains of all the subparts are:
(A) (fog)(x) and the domain is [tex](-\infty, \infty)[/tex].(B) (gof)(X) and the domain is [tex](-\infty, \infty)[/tex].(C) (fof)(x) and the domain is [tex](-\infty, \infty)[/tex].(D) (gog)(x) and the domain is [tex](-\infty, \infty)[/tex].What are functions?A function is an expression, rule, or law in mathematics that defines a relationship between a dependent thing (the independent variable) and another variable (the dependent variable). Functions are common in mathematics and are required for the formulation of physical relationships in the sciences.So,
(A) (fog)(x) and domain:
[tex](f \circ g)(x)=f(g(x))=(g(x))^2+g(x)=\left(x^2+14 x+2\right)^2+x^2+14 x+2\\=x^4+28 x^3+200 x^2+56 x+4+x^2+14 x+2=x^4+28 x^3+201 x^2+70 x+6[/tex]
The domain of (fog)(x) is the collection of domain values for g(x) with range values in the domain of f(x).
Because both functions are polynomials, the domain is [tex](-\infty, \infty)[/tex].
(b) (gof)(X) and domain:
[tex](g \circ f)(x)=g(f(x))=(f(x))^2+14(f(x))+2=\left(x^2+x\right)^2+14\left(x^2+x\right)+2\\=x^4+2 x^3+x^2+14 x^2+14 x+2=x^4+2 x^3+15 x^2+14 x+2[/tex]
The domain name is [tex](-\infty, \infty)[/tex] because this is a polynomial composition.
(c) (fof)(x) and domain:
[tex]\begin{aligned}&(f \circ f)(x)=f(f(x))=(f(x))^2+f(x)= \\&\left(x^2+x\right)^2+x^2+x=x^4+2 x^3+x^2+x^2+x=x^4+2 x^3+2 x^2+x\end{aligned}[/tex]
Because this is a polynomial composition, the domain is [tex](-\infty, \infty)[/tex].
(d) (gog)(x) and domain:
[tex](g \circ g)(x)=g(g(x))=(g(x))^2+14(g(x))+2=\left(x^2+14 x+2\right)^2+14\left(x^2+14 x+2\right)+2\\=x^4+28 x^3+200 x^2+56 x+4+14 x^2+196 x+28+2=x^4+28 x^3+214 x^2+252 x[/tex]
Because this is a polynomial composition, the domain is [tex](-\infty, \infty)[/tex].
Therefore, functions and their domains of all the subparts are:
(A) (fog)(x) and the domain is [tex](-\infty, \infty)[/tex].(B) (gof)(X) and the domain is [tex](-\infty, \infty)[/tex].(C) (fof)(x) and the domain is [tex](-\infty, \infty)[/tex].(D) (gog)(x) and the domain is [tex](-\infty, \infty)[/tex].Know more about functions here:
https://brainly.com/question/25638609
#SPJ4
The complete question is given below:
Find the functions and their domains. (enter the domains in interval notation.)
[tex]f(x)=x^2+1 x, g(x)=x^2+14 x+2[/tex]
(a) (fog)(x) and domain
(b) (gof)(X) and domain
(c) (fof)(x) and domain
(d) (gog)(x) and domain
-4 + (3)^2÷ (5 + 4) • 3
Answer: -1
Step-by-step explanation:
We will use the Order of Operations to solve;
Given:
-4 + (3)² ÷ (5 + 4) • 3
Addition in parentheses:
-4 + 9 ÷ (9) • 3
Raise to the power of 2:
-4 + 9 ÷ (5 + 4) • 3
Division:
-4 + 1 • 3
Multiplication:
-4 + 3
Addition:
-1
The number 3465 is divisible by 11 and 5. Given that you change the position of two or more of these four digits, how many of the resulting numbers are divisible by 11 but not by 5?
Answer:
Divisible rule of 11
If the number of digits of a number is even, then add the first digit and subtract the last digit from the rest of the number
Divisible rule of 5
Divisibility by 5 is easily determined by checking the last digit in the number. If the last number is either 0 or 5, the entire number is divisible by 5.
First of all, the number 3456 is not divisible by 11 and 5.
But if we change position of digits then the numbers divisible by 11 are-
3564 / 11= 324
3465 / 11= 315
3465 / 5= 693
4356 / 11 = 396
4653 / 11 = 423
5346 / 11 = 486
5643 / 11 = 513
6534 / 11 = 594
6435 / 11 = 585
6435 / 5=1287
But the numbers 3465 and 6435 are also divisible by 5
So the numbers divisible by 11 but not with 5 are:
3564 , 4356, 4653, 5346, 5643 and 6534
Learn more about divisibility test here:
https://brainly.com/question/9462805
#SPJ9
greatest to least,
7.
1
33,34,3
3 17
20' 5
3.
The numbers arranged in decreasing order from greatest to least is given by 133 , 53 ,34 ,33 ,20 ,17 ,7 .
Decremental Order When numbers (or other items) are arranged from largest to smallest, this is known as decreasing order.
This is called the sorting of numbers. When various data are given then we can sort the number s accordingly.Numbers can be sorted in the increasing order or decreasing order.Increasing order is sorting from lowest to greatest.Given numbers are 7, 133 , 34, 33 ,17, 20 , 53.
From looking at the numbers to arrange them in decreasing order we can see that 133 is the greatest of the numbers , so it will come first.
Then comes 53 which is the second highest number , then comes 34 the third highest number and so on unless we get the least number which is 7.
Hence the given numbers are arranged greatest to least:
133, 53, 34, 33, 20, 17.
To learn more about decreasing order visit: https://brainly.com/question/765087
#SPJ9
Find the difference between simple interest and annual compound interest on Rs 9,600 for 2 yers at the rate of 5 % per annum.
Answer:
Rs 984
Step-by-step explanation:
Principal (P) = Rs 9,600
Time (T) = 2 years
Rate (R) = 5%
Simple Interest (SI) = [tex]\frac{PTR}{100}[/tex]
SI = [tex]\frac{9600*2*5}{100}[/tex]
SI = [tex]\frac{9600}{10} = Rs 960[/tex]
Compound Interest (CI) = 9600 * [tex]\frac{41}{100} = 24*41 = Rs 984[/tex]
use mathematical symbols to write 3 different expressions to represent three groups of five
The different expressions to represent three groups of five are 3 * 5, 5 + 5 + 5 and 3 + 3 + 3 + 3 + 3
How to write different expressions to represent three groups of five?The mathematical statement is given as:
three groups of five
The statement three groups of five means
Three multiplied by 5
i.e. 3 * 5
This can also be written as
5 + 5 + 5
Also, it can be expressed as
3 + 3 + 3 + 3 + 3
Hence, the different expressions to represent three groups of five are 3 * 5, 5 + 5 + 5 and 3 + 3 + 3 + 3 + 3
Read more about expressions at:
https://brainly.com/question/723406
#SPJ1
Please HELP ASAP!!!!
Solve negative a minus five eighths equals three fifths for a.
The solution of the expression for a is a = -1 9/40
How to solve the expression?The expression is given as:
negative a minus five eighths equals three fifths for a.
Rewrite the expression properly as:
-a - 5/8 = 3/5
Collect the like terms in the above expression
So, we have:
a = -5/8 - 3/5
Evaluate the like terms in the above expression
So, we have:
a = -1 9/40
Hence, the solution of the expression for a is a = -1 9/40
Read more about expression at
https://brainly.com/question/723406
#SPJ1
Colton looks around at an assembly. he notices his younger sister to his right and his older brother 7 feet ahead of him. if colton's brother and sister are 8 feet apart, how far apart are colton and his younger sister? if necessary, round to the nearest tenth.
Colton is approximately 3.9 feet apart from his younger sister.
Pythagoras Theorem:
The statement o the Pythagoras theorem is, "if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides. "
Then it can be written as,
BC² = AB² + AC².
Where,
AB is the base,
AC is the altitude (height), and
BC is the hypotenuse.
Given,
Colton looks around at an assembly. he notices his younger sister to his right and his older brother 7 feet ahead of him.
And Colton's brother and sister are 8 feet apart.
Now, we need to find the distance between Colton and his younger sister.
Based on the given statement, we can draw their position like the following figure.
Here B represents the position of Colton, A represents the position of his older brother and C represents the position of his younger sister.
Now, we have to use the Pythagoras Theorem in order to solve it,
=> 8² = BC² + 7².
=> 64 = BC² + 49
=> 64 - 49 = BC²
=> BC² = 15
=> BC = √15
Therefore,
=> BC ≈ 3.9 feet
Therefore, the distance between Colden and his younger sister is approximately 3.9 feet.
To know more about Pythagoras Theorem here.
https://brainly.com/question/343682
#SPJ4
Mercury has a freezing point of -38. Water has a freezing point of 32. What is the difference
Paul started work at company B ten years ago at the salary shown in the table. At the same time Sharla started at company C at the salary shown in the table. Who earned more during the last year? How much more? *picture included*
go ask God bro ain't nobody know that
Which sequences are arithmetic
-5,5,-5,5…
96,48,24,12,6
18,5.5,-7,-19.5,-32
-1,-3,-9,-27,-81
16,32,48,64,80
Check all that apply
The option for sequences are arithmetic are:
18,5.5, –7, –19.5, –3216, 32, 48, 64, 80.How can the sequence of arithmetic be calculated?
From the first option we can see that -5,5,-5,5… dose not follow any sequence of arithmetic.
if we take the 18,5.5, –7, –19.5, which are the digits from the second option and if we find their differences we will get 12.5
Then if we take the numbers from the 16, 32, 48, 64 and find the differences between the first two numbers as well as the last two numbers then we will have 16.
Therefore, since we can have constant results between consecutive numbers then it is sequence of arithmetic.
Learn more about sequence of arithmetic on:
https://brainly.com/question/6561461
#SPJ1
Group Activity let U= { 2, 4, 6, 8, 10, 12, 14, 16, 18} A = {4, 10, 12, 14,18} B = { 2,4,6,8,10,14,16} Drow the Venn diagram and Find 1.A' 2.B' 3.(AUB)' 4.A'UB'
We get A' as { 2, 6, 8, 16}. B' as {12, 18}, (AUB)' as ∅ and A' U B' as {2, 6, 8, 12, 16, 18}.
We are given the sets as:
U= { 2, 4, 6, 8, 10, 12, 14, 16, 18}
A = {4, 10, 12, 14, 18}
B = { 2, 4, 6, 8, 10, 14, 16}
We first will find out A':
A' = U - A
A' = { 2, 4, 6, 8, 10, 12, 14, 16, 18} - {4, 10, 12, 14, 18}
A' = { 2, 6, 8, 16}
Now, we will find B':
B' = U - B
B' = { 2, 4, 6, 8, 10, 12, 14, 16, 18} - { 2, 4, 6, 8, 10, 14, 16}
B' = { 12, 18}
Now, we have to find:
(AUB)' = U - (AUB)
AUB = {4, 10, 12, 14, 18} U { 2, 4, 6, 8, 10, 14, 16}
AUB = { 2, 4, 6, 8, 10, 12, 14, 16, 18} = U
(AUB)' = U - U = ∅.
Now, we will find A' U B':
A' U B' = { 2, 6, 8, 16} U { 12, 18}
A' U B' = {2, 6, 8, 12, 16, 18}
Therefore, we get A' as { 2, 6, 8, 16}. B' as {12, 18}, (AUB)' as ∅ and A' U B' as {2, 6, 8, 12, 16, 18}.
Learn more about sets here:
https://brainly.com/question/2166579
#SPJ9
What is 8 and 3/4 into inproper fraction
Answer:
35/4
Step-by-step explanation:
8*4=32
32+3
=35
35/4
write the value of this expression as a fraction 14/33 x 55/8 x 12/35
Answer: 1
Step-by-step explanation:
[tex]\displaystyle\\\frac{14}{33} *\frac{55}{8} *\frac{12}{35} =\\\\\frac{14*55*12}{33*8*35}=\\\\\frac{2*7*5*11*3*4}{3*11*2*4*5*7}=\\\\\frac{1}{1}=\\\\1[/tex]
Two similar bottles are shown.
The smaller bottle can hold 500 ml of water. How much water can the larger bottle hold? + 2³ 15 cm 主要 66% E 21 cm
The larger bottle holds a 700ml volume of water.
What is volume?
Volume is a measure of enthralled three-dimensional space. It's frequently quantified numerically using SI-deduced units or by colorful Homeric units. The description of length is interrelated with volume. Volume is the volume of three-dimensional space enthralled by a liquid, solid, or gas. Common units used to express volume include liters, boxy measures, gallons, milliliters, ladles, and ounces, however, numerous other units live. In mathematics,' Volume' is a fine volume that shows the quantum of three-dimensional space enthralled by an object or an unrestricted face.Two(2) bottles given in the pic are similar(no difference)
Therefore, the volume/cm height of both(2) bottles will proportional
By using the proportionality rule, [tex]\frac{15}{500} =\frac{21}{x}[/tex]
x = 700ml(seven hundred)
Hence, the correct answer is 700ml.
Learn more about Volume here:
https://brainly.com/question/1972490
#SPJ9
Given f(-3) = -30 for some polynomial, what factor can f(x) be divided by that will result in a remainder of -30?
Answer:If you can spot a factor of
f(x)
then you can use synthetic division to divide by that factor to give a simpler polynomial to factor.
Step-by-step explanation:
Question content area the calculation for annual depreciation using the units-of-output method is:________
Content area the calculation for annual depreciation using the units-of-output method is yearly output.
What are the output method's units?
The productive output, units of production, or units of activity methods are other names for the units of output approach. Depreciation is computed based on the output of the equipment over a given period of time, taking into account the equipment's anticipated lifetime output units.What is the annual depreciation formula?
The formula for calculating the annual depreciation rate is (100 x Number of Periods in Year)/Number of Periods in Expected Life. The formula annual depreciation rate/number of periods in the year is used to determine the amount of depreciation for each period.Learn more about yearly output.
brainly.com/question/17255854
#SPJ4
Express 405 as product of powers of their prime factors
The factor tree diagram is shown below.
========================================================
Explanation:
The first few primes are:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31
These numbers have factors of 1 and themself only.
Divide 405 over the smallest prime (2)
405/2 = 202.5
We don't get a whole number result, so 2 is not a factor of 405
Repeat for the prime next prime (3)
405/3 = 135
We get a whole number result. Therefore, 3 is a factor of 405
405 = 3*135
-------------------------
Now focus on 135.
Divide 135 over the smallest prime (2)
135/2 = 67.5
This rules out 2 as a factor of 135
Repeat for the prime number 3
135/3 = 45
So we can see that
135 = 3*45
which shows 3 is a factor of 135.
--------------------------
Now focus on 45. The prime 2 isn't a factor since 45/2 = 22.5 isn't a whole number
But 3 is a prime factor because 45/3 = 15 is a whole number. So 45 = 3*15 is the case.
Furthermore, 15/3 = 5 to show that 15 = 3*5
--------------------------
We can express all of this as a factor tree as shown below. The primes have been circled in red.
We have the primes of: 3, 3, 3, 3, 5
We can shorten the four '3's into 3^4
Therefore, 405 = 3^4 * 5
The product in terms of prime factor is 3*3*3*3*5.
What are prime factors?The factors of a number are numbers that evenly divide into it. A prime factor is a factor that is only divisible by 1 and itself.
Given:
405
On performing prime factorization
405= 3*3*3*3*5
Hence, the prime factors are 3*3*3*3*5.
Learn more about prime factors here:
https://brainly.com/question/10454590
#SPJ2
i need help and im so tired PLSSSS
Answer:
60 ft^2
Step-by-step explanation:
The cubed root of 125 is 5 because (5x5x5) = 125 and there are 12 cubicles so multiply 12 times 5 and that equals the length of 1 row, 60 ft^2.
47=3-6y I can't do it some one helpppppp
Answer: 7.333
Step-by-step explanation:
first move the three over 47-3 = 6y
the divide by - 6 to get y by itself 44/-6 = y
Solve for y.
23 +18y=-21 + 14y
Simplify your answer as much as possible.
y =
Answer:
y = -11
Step-by-step explanation:
23 + 18y = -21 + 14y
Combine like terms
18y - 14y = -21 -23
Do the math
4y = -44
Divide both sides by 4
y = -11
write the non-teerminating decimal as fraction 0.555555555...
Answer:
111111111/200000000
PLEASE HELP
i don’t understand geometry that well and i need to get this in soon
Step-by-step explanation:
Take Reference of Z-angle forward and backward and X-Angle if none are in this category then write none.
-Mark As Brainliest If It Helped You Out
find measure of MK in the image below
Answer:
ok is the corr!ctewwwdeeecceeeeecrrr\g
4/24 = 1/? denominator=
−4⋅(45)(−1)
What is the product?
answer: 180
first I multiplied -4 with 45, which gave me -180, then I made 180 positive by multiplying it with -1